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Finding the Fourth Proportional to 2,459.16, 3,673.08 and 2,113.29

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Solution

The fourth proportional to 2,459.16, 3,673.08 and 2,113.29 is: 3,156.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,459.16 : 3,673.08 = 2,113.29 : x
  2. Step 2: Convert to fraction form
    2,459.16/3,673.08 = 2,113.29/x
  3. Step 3: Cross multiply
    2,459.16x = 3,673.08 × 2,113.29
  4. Step 4: Simplify right side
    2,459.16x = 7,762,283.23
  5. Step 5: Solve for x
    x = 7,762,283.23/2,459.16
  6. Step 6: Final answer
    x = 3,156.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.